Trace Representation of the Sequences Derived from Polynomial Quotient

摘要

The discrete Fourier transform and trace representation of certain sequences can help generate the sequences efficiently and analyse their cryptographic properties. In this paper, we first determine the defining pairs of the binary sequences derived from a class of polynomial quotient modulo an odd prime p and the Legendre symbol. We then derive the discrete Fourier transform and the trace representation of this class of sequences.